Computation of the differential dimension polynomial under changes in the generators in a system of Dirac equations (Q5942049)
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scientific article; zbMATH DE number 1637777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the differential dimension polynomial under changes in the generators in a system of Dirac equations |
scientific article; zbMATH DE number 1637777 |
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Computation of the differential dimension polynomial under changes in the generators in a system of Dirac equations (English)
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16 January 2002
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The problem of determining the minimal differential dimension polynomial is considered for some systems of partial differential equations. In particular, for the differential field extension specified by the system of Dirac equations, a primitive element is found. Using this element, an upper estimate for the minimal differential dimension polynomial of this extension, which refines known estimates, is obtained.
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minimal differential dimension polynomial
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Dirac equations
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primitive elements
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Rosenfeld-Gröbner algorithm
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differential field extension
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